write an equation of the line, in point-slope form, that passesthrough the given point and has the given slope? point: (8,-8);slope:3
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope.
Using the given point (8, -8) and slope 3, we can substitute these values into the point-slope form equation:
y - (-8) = 3(x - 8)
Simplifying, we get:
y + 8 = 3x - 24
To write the equation of a line in point-slope form, you can use the formula:
y - y1 = m(x - x1)
where (x1, y1) represents the given point and m represents the slope.
Given that the point is (8, -8) and the slope is 3, the equation can be written as:
y - (-8) = 3(x - 8)
Simplifying the equation:
y + 8 = 3x - 24